David Hilbert's Lectures on the Foundations of Geometry 1891-1902 / Edition 1

by Michael Hallett, Ulrich Majer

Overview

This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study and contain many reflections and investigations which never found their way into print.

Product Details

ISBN-13:	9783540643739
Publisher:	Springer Berlin Heidelberg
Publication date:	07/12/2004
Series:	David Hilbert's Lectures on the Foundations of Geometry, 189
Edition description:	2004
Pages:	661
Product dimensions:	6.10(w) x 9.25(h) x 0.06(d)

Table of Contents

Preface.- Introduction to the Edition.- Introduction to the Contents of the Volume.- Chapter 1: Lectures on Projective Geometry (1891).- Chapter 2: Lectures on the Foundations of Geometry (1894).- Chapter 3: Holiday Courses, 1896 and 1898.- Chapter 4: Lectures on Euclidean Geometry (1898-99).- Chapter 5: The Foundations of Geometry: The Festschrift of 1899.- Chapter 6: Lectures on the Foundations of Geometry (1902).

Editorial Reviews

From the reviews:

"This book represents … Hilbert’s work on the foundations of mathematics, understood in a broad sense as an enterprise impinging on all exact knowledge. … The editors have clearly taken great care in their handling of this source material, making this important collection of texts finally accessible to the wider community of historians of mathematics." (David E. Rowe, Historia Mathematica, Vol. 34, 2007)

From the Publisher